Vitrimers‐like polyhydroxy esters networks were thermally synthesized from mixtures of the diepoxide monomer diglycidyl ether polyethyleneglycol (DGEPEG), citric (CA), and sebacic acids (SA), using zinc acetate in proportions of 1 to –5 mol%. as catalyst for bond exchange reactions. Reaction of DGEPEG with the acids is exothermic with enthalpy up to 326 J/g and takes place even without any catalyst. The progress of the reaction is reduced as the content of SA is increased in the formulations, but reaction enthalpy in mixtures containing 1% of Zn catalyst is higher than those with 5%mol Zn. These polyhydroxy esters networks are rubber‐like materials with Tg varying from −24 to −43°C, with formulations containing SA showing the lowest Tg values. The presence of ester and hydroxyl groups and Zn catalyst in the polymers give rise to exchange reactions similar to those shown by vitrimers. However, the increase in Zn concentration from 1% to 5%, arouses a loss of thermal stability of these materials.